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arXiv · 2001.01417

Normalized solutions for a coupled fractional schrodinger system in low dimensions

Meng Li·Jinchun He·Haoyuan Xu·Meihua Yang
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Abstract

We consider the following coupled fractional Schrödinger system: \begin{equation*} \left\{ \begin{aligned} &(-Δ)^su+λ_1u=μ_1|u|^{2p-2}u+β|v|^p|u|^{p-2}u\\ &(-Δ)^sv+λ_2v=μ_2|v|^{2p-2}v+β|u|^p|v|^{p-2}v\\ \end{aligned} \right.\quad\text{in}~{\mathbb{R}^N}, \end{equation*} with $0 0$ .

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Meng Li, Jinchun He, Haoyuan Xu, Meihua Yang. 2020-07-14. Normalized solutions for a coupled fractional schrodinger system in low dimensions. https://arxiv.org/abs/2001.01417

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